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Finding the Third Proportional to 202,278 and 307,107

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Solution

The third proportional to 202,278 and 307,107 is: 466,262.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,278 : 307,107 = 307,107 : x
  2. Step 2: Convert to fraction form
    202,278/307,107 = 307,107/x
  3. Step 3: Cross multiply
    202,278x = 307,107 × 307,107
  4. Step 4: Simplify right side
    202,278x = 94,314,709,449
  5. Step 5: Solve for x
    x = 94,314,709,449/202,278
  6. Step 6: Final answer
    x = 466,262.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.